Greatest Common Factor of 87/355, 627/555, 774/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/355, 627/555, 774/270

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 87/355,627/555,774/270

Given fractions are 87/355,627/555,774/270

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 87,627,774

Greatest Common Factor of Numerators i.e. GCF of 87,627,774 is 3 .

LCM of Denominators means LCM of 355,555,270 as per the given fractions.

LCM of 355,555,270 is 709290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,627,774

GCF of Fractions 87/355,627/555,774/270 is 3/709290

3 87, 627, 774
29, 209, 258

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 87,627,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,627,774 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 87,627,774 . The biggest common factor number is the GCF number.
So the greatest common factor 87,627,774 is 3.

Lets's calculate LCM of 355,555,270

3 355, 555, 270
5 355, 185, 90
71, 37, 18

∴ So the LCM of the given numbers is 3 x 5 x 71 x 37 x 18 = 709290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/709290

Therefore, the GCF of Fractions 87/355,627/555,774/270 is 3/709290

Least Common Multiple of 355,555,270 with GCF Formula

Least Common Multiple of 355,555,270 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 355,555,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,555,270) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(355,555,270) x common factors =5 x 15 = 75

LCM(355,555,270) = ( 355 × 555 × 270 ) / 75

LCM(355,555,270) = 53196750 / 75

LCM(355,555,270) = 709290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 87/355, 627/555, 774/270

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 87/355, 627/555, 774/270?

Answer: GCF of Numerators as per given numbers 87/355, 627/555, 774/270 is

GCF of Numerators i.e. for 87,627,774 is 3

LCM of denominators i.e. for 355,555,270 is 709290.

Thus, GCF of Fractions is 3/709290.Finally, GCF of Fractions for 87/355, 627/555, 774/270 is 3/709290.